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Finding the Third Proportional to 75,024.56 and 177,102.56

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Solution

The third proportional to 75,024.56 and 177,102.56 is: 418,067.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,024.56 : 177,102.56 = 177,102.56 : x
  2. Step 2: Convert to fraction form
    75,024.56/177,102.56 = 177,102.56/x
  3. Step 3: Cross multiply
    75,024.56x = 177,102.56 × 177,102.56
  4. Step 4: Simplify right side
    75,024.56x = 31,365,317,644.07
  5. Step 5: Solve for x
    x = 31,365,317,644.07/75,024.56
  6. Step 6: Final answer
    x = 418,067.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.